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Simplifying (-4n + -3)(-1n + 7) = 0 Reorder the terms: (-3 + -4n)(-1n + 7) = 0 Reorder the terms: (-3 + -4n)(7 + -1n) = 0 Multiply (-3 + -4n) * (7 + -1n) (-3(7 + -1n) + -4n * (7 + -1n)) = 0 ((7 * -3 + -1n * -3) + -4n * (7 + -1n)) = 0 ((-21 + 3n) + -4n * (7 + -1n)) = 0 (-21 + 3n + (7 * -4n + -1n * -4n)) = 0 (-21 + 3n + (-28n + 4n2)) = 0 Combine like terms: 3n + -28n = -25n (-21 + -25n + 4n2) = 0 Solving -21 + -25n + 4n2 = 0 Solving for variable 'n'. Factor a trinomial. (-3 + -4n)(7 + -1n) = 0Subproblem 1
Set the factor '(-3 + -4n)' equal to zero and attempt to solve: Simplifying -3 + -4n = 0 Solving -3 + -4n = 0 Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4n = 0 + 3 -4n = 0 + 3 Combine like terms: 0 + 3 = 3 -4n = 3 Divide each side by '-4'. n = -0.75 Simplifying n = -0.75Subproblem 2
Set the factor '(7 + -1n)' equal to zero and attempt to solve: Simplifying 7 + -1n = 0 Solving 7 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1n = 0 + -7 -1n = 0 + -7 Combine like terms: 0 + -7 = -7 -1n = -7 Divide each side by '-1'. n = 7 Simplifying n = 7Solution
n = {-0.75, 7}
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